Three-Loop Divergences in Effective Action of 4-Dimensional Yang–Mills Theory with Cutoff Regularization: \({\Gamma }_{4}^{2}\)-Contribution

In the paper, we study three-loop divergences in the effective action of the four-dimensional Yang–Mills theory from the \({\Gamma }_{4}^{2}\) ${\mathrm{\Gamma }}_4^2$ -contribution. As a regularization we use a cutoff (deformation of the Green’s function) in the coordinate representation.